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Finding the Fourth Proportional to 2,646.51, 3,970.65 and 1,003.51

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Solution

The fourth proportional to 2,646.51, 3,970.65 and 1,003.51 is: 1,505.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,646.51 : 3,970.65 = 1,003.51 : x
  2. Step 2: Convert to fraction form
    2,646.51/3,970.65 = 1,003.51/x
  3. Step 3: Cross multiply
    2,646.51x = 3,970.65 × 1,003.51
  4. Step 4: Simplify right side
    2,646.51x = 3,984,581.96
  5. Step 5: Solve for x
    x = 3,984,581.96/2,646.51
  6. Step 6: Final answer
    x = 1,505.60

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.